300/400 Simplified

What is 300/400 Simplified?

Answer: Fraction 300/400 simplified to lowest terms is 3/4 (¾)
300
/
400
=
3
/
4

3/4 (¾) is the simplified fraction of 300/400.

Simplifying Fraction 300/400 using GCF

The first way to simplify the fraction 300/400 is to use the Greatest Common Factor (GCF) of our numerator [300] and denominator [400].

GCF of 300 and 400 is 100

And then divide both the numerator [300] and denominator [400] by the GCF [100].

300 ÷ 100
/
400 ÷ 100
=
3
/
4

Simplifying Fraction 300/400 using Prime Factors

Another method to reduce the fraction 300/400 to its simplest form is to use the Prime Factors of numerator [300] and denominator [400].

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

2 × 2 × 3 × 5 × 5
/
2 × 2 × 2 × 2 × 5 × 5
=
3
/
4

Simplifying Fraction 300/400 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [300] and denominator [400] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

300 ÷ 2
/
400 ÷ 2
=
150
/
200
150 ÷ 2
/
200 ÷ 2
=
75
/
100
75 ÷ 5
/
100 ÷ 5
=
15
/
20
15 ÷ 5
/
20 ÷ 5
=
3
/
4

See Also

Fraction Simplifier Calculator

This calculator will help you to simplify any fraction to its simplest form. For example, it can help you find out what is 300/400 Simplified? (The answer is: 3/4 (¾)). Enter the fraction (numerator and denominator) (e.g. '300/400') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 300/400) means reducing it to its simplest form. A fraction is considered simplified if its numerator and denominator have no common factors other than 1 (one).

Fraction Simplification Table

FractionLowest Terms
300/38560/77
300/386150/193
300/387100/129
300/38875/97
300/389300/389
300/390
300/391300/391
300/39275/98
300/393100/131
300/394150/197
300/39560/79
300/39625/33
300/397300/397
300/398150/199
300/399100/133
300/401300/401
300/40250/67
300/403300/403
300/40475/101
300/405
300/406150/203
300/407300/407
300/40825/34
300/409300/409
300/41030/41
300/411100/137
300/41275/103
300/413300/413
300/41450/69

FAQ

What is 300/400 Simplified?

Fraction 300/400 simplified to lowest terms is 3/4 (¾)